document.write( "Question 884172: Differentiate Sqrt{1-x^2} \n" ); document.write( "
Algebra.Com's Answer #534035 by DrBeeee(684)\"\" \"About 
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Given:
\n" ); document.write( "(1) \"sqrt%281-x%5E2%29\" or
\n" ); document.write( "(2) \"%281-x%5E2%29%5E%281%2F2%29\"
\n" ); document.write( "Let
\n" ); document.write( "(3) u = (1-x^2) and rewrite (2) as
\n" ); document.write( "(4) u^(1/2)
\n" ); document.write( "Now take the derivitive of (3) and get
\n" ); document.write( "(5) ((1/2)u^(1/2-1))*du/dx or
\n" ); document.write( "(6) ((1/2)*(1/u^(1/2)))*du/dx
\n" ); document.write( "Now get du/dx from (3)
\n" ); document.write( "(7) du/dx = d((1-x^2)/dx or
\n" ); document.write( "(8) du/dx = -2x
\n" ); document.write( "Now put (8) into (6) to get
\n" ); document.write( "(9) ((1/2)*(1/u^(1/2)))*(-2x) or
\n" ); document.write( "(10) \"-x%2Fsqrt%281-x%5E2%29\"
\n" ); document.write( " \n" ); document.write( "
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